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" Jive following terms being given, the other two may be readily found. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms. PROBLEM I. The first term, the last term, and the number of terms... "
The Western Calculator, Or, A New and Compendious System of Practical ... - Page 141
by Joseph Stockton - 1839 - 203 pages
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The Tutor's Guide, Being a Complete System of Arithmetic: With Various ...

Charles Vyse - Arithmetic - 1806 - 346 pages
...2, 4,6,8, 10. 6X2=2+ 10=12 and 6X2=4+8=12. In Arithmetical- Progression there are five Things to be observed, viz. 1. The first Term. •2. The last Term." 3. The Number of Terms. 4. The common Excess or Difference. 5. The Aggregate Sum of all the Terms. Any three of which being given,...
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A New System of Mercantile Arithmetic: Adapted to the Commerce of the United ...

Michael Walsh - Arithmetic - 1807 - 290 pages
...4-, 5, where the double of 3 = 5 + 1 = 2 + 4 — 6. In Arithmetical Progression five things are to be observed, viz. 1. The first term. 2. The last term....number of terms. 4. The equal difference. 5. The sum ef all the terms. Any three of which being given, the other two may be found. Theßrst, second and...
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Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1814 - 300 pages
...Progression there are reckoned 5 terms, any three of which being given, the remaining two may b* found, viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms. Tht First Term, the Last Term, and the Number of Tema,...
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1815 - 342 pages
...8, 10. 6 x 2=2 + 10=12 and 6x2=4+8 = 12. In arithmetical progression there are five 'things, to be observed, viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The common excess, or difference. 5. The aggregate sum of all the terms. Any three of which being given,...
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A New System of Mercantile Arithmetic: Adapted to the Commerce of the United ...

Michael Walsh - Arithmetic - 1816 - 288 pages
...2X32=4X16=8X8=64. In Geometrical Progression the same five things are tp be observed as in Arithmetical, viz. .]. The first term. 2. The last term. 3. The number of terms. 4. The equal difference or ratio: . , 5. The sum of all the terms. NeTE. As the last term in a long series of numbers, is very...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

Arithmetic - 1818 - 264 pages
...EXTREMES. Any three of the five following terms being given, the oth^p two may be readily found. ' ', 1. The first term. . . 2. The last term. 3. The number of terms. 4. The comtnpn difference. 5. The sum of all the terms. PROBLEM I. The first term, the last term, and the...
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The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - Arithmetic - 1825 - 224 pages
...Arithmetical Progression, the first term, the last term, the number of terms, the common difference, and the sum of all the terms. / Case 1. The first term, common difference, and number of terms being given to find the last term and sum of all the terms. Rule. 1. Multiply the number of terms less...
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The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ...

Daniel Parker - Arithmetic - 1828 - 364 pages
...27X3^=81 8X8) 9X9) Five particulars are requisite equally in Geometrical Progression as in Arithmetical ; viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference, от ratio. 6. The sum of all .the terms. JVbte. — To find the last term in a...
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The Mercantile Arithmetic, Adapted to the Commerce of the United States, in ...

Michael Walsh - Arithmetic - 1828 - 312 pages
...4X16=8X8=64. In Geometrical Progression the same five things are to be observed,, as in Arithmetical, viz. 1. The first term. 2. The last term. 3. The number of terms. NOTE. Aa the last term in a long series of numbers, is very t«. dious to come at, bj continual multiplication...
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Connolly's Arithmetic: Or, The Ohio Accomptant: Being a Plain Practical ...

James L. Connolly (Mathematician) - Arithmetic - 1829 - 268 pages
...2x32 = 64, and 4X16 = 64. The five things in arithmetical progression are to be pttstrved here also. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference, or ratio. 5. The sum of all the terms. As the last term, in a long series of numbers,...
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